Found 256 Documents (Results 1–100)
3d super hyperbolic geometry. (English) Zbl 07825734
Some remarks on real minimal nilpotent orbits and symmetric pairs. arXiv:2407.00675
Preprint, arXiv:2407.00675 [math.RT] (2024).
On Infinitesimal \(\tau\)-Isospectrality of Locally Symmetric Spaces. arXiv:2405.09847
Preprint, arXiv:2405.09847 [math.RT] (2024).
Rigidity of locally symmetric rank one manifolds of infinite volume. arXiv:2401.04104
Preprint, arXiv:2401.04104 [math.GT] (2024).
Complex Weyl symbols of metaplectic operators: an elementary approach. (English) Zbl 1540.22024
Reviewer: Nicolae Cotfas (Bucureşti)
Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 on \(S^3\). (English) Zbl 1535.22046
Reviewer: Chao-Ping Dong (Changsha)
Bounded multiplicity branching for symmetric pairs. (English) Zbl 07700651
Reviewer: Pallav Goyal (Riverside)
Harish-Chandra highest weight representations of semisimple Lie algebras and Lie groups. (English) Zbl 1531.22005
Reviewer: Jan Frahm (Århus)
Families of geodesic orbit spaces and related pseudo-Riemannian manifolds. (English) Zbl 1528.53053
Reviewer: Zdeněk Dušek (České Budějovice)
Clifford algebras, symmetric spaces and cohomology rings of Grassmannians. arXiv:2310.04839
Preprint, arXiv:2310.04839 [math.RT] (2023).
On representation equivalence and multiplicity measure for lattices in Lie Groups. arXiv:2309.00294
Preprint, arXiv:2309.00294 [math.RT] (2023).
Multiplicity in restricting minimal representations. (English) Zbl 1543.22013
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 3-20 (2022).
Reviewer: E. K. Narayanan (Bangalore)
Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one. (English) Zbl 1507.43006
Real structures on nilpotent orbit closures. (English) Zbl 1494.14050
Reviewer: Mee Seong Im (Annapolis)
Multiplicity in restricting small representations. (English) Zbl 1508.22009
Reviewer: Kyo Nishiyama (Aoyama)
Bounded multiplicity theorems for induction and restriction. (English) Zbl 1493.22014
Reviewer: Pierre Clare (Williamsburg)
Multiplicity of a degenerate principal series for homogeneous spaces with infinite orbits. (English) Zbl 1511.22021
A generalization of the Kobayashi-Oshima uniformly bounded multiplicity theorem. (English) Zbl 1503.22015
Reviewer: Jan Frahm (Århus)
Unitary representations, \(L^2\) Dolbeault cohomology, and weakly symmetric pseudo-Riemannian nilmanifolds. (English) Zbl 1504.22013
An evolution in six stages based on triality: a mathematical memoir. (English) Zbl 1495.22006
Reviewer: V. V. Gorbatsevich (Moskva)
A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1511.22016
The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 1490.37082
Reviewer: Ivailo M. Mladenov (Sofia)
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\). (English) Zbl 1504.22015
Reviewer: Chao-Ping Dong (Changsha)
Fenchel-Nielsen coordinates on the augmented moduli space of anti-de Sitter structures. (English) Zbl 1462.83007
The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. (English) Zbl 1475.22019
Reviewer: Angela Gammella-Mathieu (Metz)
Average number of roots of systems of equations. (English. Russian original) Zbl 1450.52005
Funct. Anal. Appl. 54, No. 2, 100-109 (2020); translation from Funkts. Anal. Prilozh. 54, No. 2, 35-47 (2020).
Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations. (English) Zbl 1439.22026
On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems. (English) Zbl 1435.81110
J. Math. Sci., New York 240, No. 5, 617-633 (2019) and Zap. Nauchn. Semin. POMI 468, 177-201 (2018).
Invariant symbolic calculus for compact Lie groups. (English) Zbl 1474.22011
Reviewer: Tin Yau Tam (Reno)
A prime geodesic theorem for \(\mathrm{SL}_3(\mathbb{Z})\). (English) Zbl 1461.11083
Reviewer: Laurent Guillopé (Nantes)
Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. (English) Zbl 1420.11005
Contemporary Mathematics 732. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3525-7/pbk; 978-1-4704-5317-6/ebook). viii, 286 p. (2019).
Berezin-Weyl quantization of Heisenberg motion groups. (English) Zbl 1415.22011
Reviewer: Angela Gammella-Mathieu (Metz)
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. 2nd edition. Revised and corrected reprint of the 1977 original published by Math Sci Press. (English) Zbl 1422.53004
Dover Books on Mathematics. Mineola, NY: Dover Publications (ISBN 978-0-486-81689-0). xvii, 436 p. (2018).
Harmonic analysis on homogeneous spaces. 2nd edition, revised and updated republication of the 1973 original published by Marcel Dekker. (English) Zbl 1406.22001
Schwartz functions on real algebraic varieties. (English) Zbl 1445.14078
Reviewer: Maria Infusino (Konstanz)
Symmetry breaking for representations of rank one orthogonal groups. II. (English) Zbl 1421.81003
Lecture Notes in Mathematics 2234. Singapore: Springer (ISBN 978-981-13-2900-5/pbk; 978-981-13-2901-2/ebook). xv, 342 p. (2018).
Reviewer: Salah Mehdi (Metz)
Dimension of the space of intertwining operators from degenerate principal series representations. (English) Zbl 1398.22016
Reviewer: Andrew Bucki (Edmond)
Invariant symbolic calculus for semidirect products. (English) Zbl 1463.81016
Reviewer: Daniel Beltiţă (Bucureşti)
Corwin-Greenleaf multiplicity function for compact extensions of the Heisenberg group. (English) Zbl 1396.22003
Symplectic decomposition of the massive coadjoint orbits of a semidirect product. (English) Zbl 1488.81029
On the irreducible action of \(\mathrm{PSL}(2, \mathbb{R})\) on the 3-dimensional Einstein universe. (Sur l’action irréductible de \(\mathrm{PSL}(2, \mathbb{R})\) sur l’univers d’Einstein de dimension 3.) (English. French summary) Zbl 1377.22010
Reviewer: Andreas Arvanitoyeorgos (Patras)
Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. (English) Zbl 1372.22012
Reviewer: Stefan Berceanu (Bucureşti)
On strong property (T) and fixed point properties for Lie groups. (Sur la propriété (T) renforcée et la propriété de point fixe pour les groupes de Lie.) (English. French summary) Zbl 1400.22006
On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius. (English) Zbl 1417.11123
Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 185-221 (2016).
Symmetries in graphs, maps, and polytopes. 5th SIGMAP workshop, West Malvern, UK, July 7–11, 2014. (English) Zbl 1348.05004
Springer Proceedings in Mathematics & Statistics 159. Cham: Springer (ISBN 978-3-319-30449-6/hbk; 978-3-319-30451-9/ebook). x, 332 p. (2016).
Corwin-Greenleaf multiplicity function for compact extensions of \(\mathbb{R}^n\). (English) Zbl 1326.22013
Deformation quantization for actions of Kählerian Lie groups. (English) Zbl 1323.22005
Mem. Am. Math. Soc. 1115, v, 154 p. (2015).
Reviewer: Do Ngoc Diep (Hanoi)
Symmetry breaking for representations of rank one orthogonal groups. (English) Zbl 1334.22015
Mem. Am. Math. Soc. 1126, v, 110 p. (2015).
Reviewer: Salah Mehdi (Metz)
Coherent states and Berezin quantization for non-scalar holomorphic representations. (English) Zbl 1319.22008
Reviewer: Angela Gammella-Mathieu (Metz)
Compact homogeneous spaces with positive Euler characteristic and their ‘strange formulae’. (English) Zbl 1317.22009
Reviewer: V. Gorbatsevich (Moskva)
Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. (English) Zbl 1387.22014
Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Geometric and analytic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09933-0/hbk; 978-3-319-09934-7/ebook). Developments in Mathematics 37, 41-76 (2014).
An exotic deformation of the hyperbolic space. (English) Zbl 1304.53030
Reviewer: V. Gorbatsevich (Moskva)
Integral operators on the Oshima compactification of a Riemannian symmetric space. (English) Zbl 1325.22009
Reviewer: Andreas Cap (Wien)
Hodge theory, complex geometry, and representation theory. NSF-CBMS regional conference in mathematics. Hodge theory, complex geometry, and representation theory, Fort Worth, TX, USA, June 18, 2012. (English) Zbl 1284.14005
Contemporary Mathematics 608. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9415-6/pbk; 978-1-4704-1470-2/ebook). xv, 311 p. (2014).
Differential geometry in the large. Abstracts from the workshop held June 30 – July 6, 2013. (Differentialgeometrie im Großen.) (English) Zbl 1349.00066
Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. (English) Zbl 1296.22007
Reviewer: Stefan Berceanu (Bucureşti)
Analysis on flag manifolds and Sobolev inequalities. (English) Zbl 1431.43008
Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer. Prog. Math. 306, 255-271 (2013).
Berezin quantization and holomorphic representations. (English) Zbl 1272.22007
Reviewer: Angela Gammella-Mathieu (Metz)
Geometry of Möbius transformations. Elliptic, parabolic and hyperbolic actions of SL\(_2(\mathbb R)\). With DVD-ROM. (English) Zbl 1254.30001
Hackensack, NJ: World Scientific (ISBN 978-1-84816-858-9/hbk; 978-1-84816-859-6/ebook). xiv, 192 p. (2012).
Reviewer: Gheorghe Zet (Iaşi)
The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\). (English) Zbl 1244.22007
Reviewer: Adela-Gabriela Mihai (Bucureşti)
Geometric realizations of curvature. (English) Zbl 1253.53001
ICP Advanced Texts in Mathematics 6. Hackensack, NJ: World Scientific (ISBN 978-1-84816-741-4/hbk; 978-1-84816-742-1/ebook). ix, 252 p. (2012).
Reviewer: Antonella Nannicini (Firenze)
Geometry. Exploratory workshop on differential geometry and its applications, Iaşi, Romania, September 2–4, 2009. (English) Zbl 1225.53003
Cluj-Napoca: Cluj University Press (ISBN 978-973-595-235-8). xiii, 147 p. (2011).
Algebraic analysis of minimal representations. (English) Zbl 1227.22015
Reviewer: Richard Bödi (Wädenswil)
Lectures on Gaussian integral operators and classical groups. (English) Zbl 1211.22001
EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-080-7/pbk). xii, 559 p. (2011).
Reviewer: Vasily A. Chernecky (Odessa)
Geometric applications of irreducible representations of Lie groups. (English) Zbl 1205.53053
Cortés, Vicente (ed.), Handbook of pseudo-Riemannian geometry and supersymmetry. Papers based on the 77th meeting “Encounter between mathematicians and theoretical physicists”, Strasbourg, France, 2005. Zürich: European Mathematical Society (ISBN 978-3-03719-079-1/hbk). IRMA Lectures in Mathematics and Theoretical Physics 16, 629-651 (2010).
Reviewer: Claudio Gorodski (Sao Paulo)
Kaehlerian reductions in solvable Lie groups and applications. (Réductions Kählériennes dans les groupes de Lie résolubles et applications.) (French) Zbl 1190.22008
Reviewer: Mircea Crâşmăreanu (Iaşi)
The selected works of Sigurđur Helgason. Edited by Gestur Ólafsson and Henrik Schlichtkrull. (English) Zbl 1198.01044
Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4753-4/hbk). xli, 715 p. (2009).
Reviewer: Hubert Gollek (Berlin)
Positive toric fibrations. (English) Zbl 1162.22008
Reviewer: Huafei Sun (Beijing)
Geometric analysis on symmetric spaces. 2nd ed. (English) Zbl 1157.43003
Mathematical Surveys and Monographs 39. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4530-1/hbk). xvii, 637 p. (2008).
Reviewer: Valery Vladimirovich Volchkov (Donetsk)
Log-exponential analogues of univariate subdivisional schemes in Lie groups and their smoothness properties. (English) Zbl 1153.65322
Neamtu, Marian (ed.) et al., Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4–8, 2007. Brentwood, TN: Nashboro Press (ISBN 978-0-9728482-9-9/hbk). Modern Methods in Mathematics, 181-190 (2008).
Reviewer: Michael M. Pahirya (Uzhgorod)
Kirillov’s character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing. (English) Zbl 1168.22011
Reviewer: Benjamin Cahen (Metz)
Andersen filtration and hard Lefschetz. (English) Zbl 1143.22012
Reviewer: Rina Anno (Chicago)
Howe type duality for metaplectic group acting on symplectic spinor valued forms. arXiv:0805.2904
Preprint, arXiv:0805.2904 [math.RT] (2008).
A new approach to spectral gap problems. (English) Zbl 1130.22006
Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 499-504 (2007).
Reviewer: Christian Pierre (Louvain-la-Neuve)
A higher rank Lefschetz formula. (English) Zbl 1205.58014
Reviewer: Nicoleta Negoescu (Iaşi)
Weyl’s law for the cuspidal spectrum of \(\mathrm{SL}(n)\). (English) Zbl 1119.11027
Reviewer: J. G. M. Mars (Utrecht)
On the branching theorem for the pair \((F_4, \mathrm{Spin}(9))\). (English) Zbl 1123.22006
Reviewer: Jeb F. Willenbrinq (MR2248282)
Principal Gelfand pairs. (English) Zbl 1108.22015
Reviewer: Dmitri Panyushev (Moskva)
Canonical representations on two-sheeted hyperboloids. (Russian, English) Zbl 1118.22006
Zap. Nauchn. Semin. POMI 331, 91-124 (2006); translation in J. Math. Sci., New York 141, No. 4, 1432-1451 (2007).
Reviewer: A. L. Onishchik (Yaroslavl)
Cycle spaces of flag domains. A complex geometric viewpoint. (English) Zbl 1084.22011
Progress in Mathematics 245. Boston, MA: Birkhäuser (ISBN 0-8176-4391-5/hbk; 0-8176-4479-2/ebook). xx, 339 p. (2006).
Reviewer: Vasily A. Chernecky (Odessa)
A survey on the geometry of isometric actions. (English) Zbl 1096.53021
Reviewer: Cihan Özgür (Balikesir)
Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) (English, French) Zbl 1093.53095
Panoramas et Synthèses 20. Paris: Société Mathématique de France (ISBN 2-85629-183-X/pbk). vii, 186 p. (2005).
Reviewer: Benjamin Cahen (Metz)
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